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Finding the Fourth Proportional to 831.32, 1,146.37 and 582.56

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Solution

The fourth proportional to 831.32, 1,146.37 and 582.56 is: 803.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.32 : 1,146.37 = 582.56 : x
  2. Step 2: Convert to fraction form
    831.32/1,146.37 = 582.56/x
  3. Step 3: Cross multiply
    831.32x = 1,146.37 × 582.56
  4. Step 4: Simplify right side
    831.32x = 667,822.12
  5. Step 5: Solve for x
    x = 667,822.12/831.32
  6. Step 6: Final answer
    x = 803.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.